测漂线路绘制的算法探讨

On computational algorithms approach for drawing driftage line

利用数学建模的方法,将一个绘制海水流线的问题转化成一个数学问题,得出了用计算机绘制流线的算法,以及描绘光滑流线的算法。得到交点的坐标为:xij=yj-yi+kixi-kjxjki-kj,yij=kiyj-kjyi+kikj(xi-xj)ki-kj,点的中心位置公式:x(i)=x12+x13+x233,y(i)=y12+y13+y233以及画线函数公式:y=f(x)=y(0).x-x(1)x(0)-x(1).x-x(2)x(0)-x(2)+y(1).x-x(0)x(1)-x(0).x-x(2)x(1)-x(2)+y(2).x-x(0)x(2)-x(0).x-x(1)x(2)-x(1)。

By means of constructing a math model, the process of drawing the flow lines in a certain sea area is transformed into a math problem, by which a computer program of charting the flow lines and a kind of algorithm of drawing the smooth lines are gained. The main mathematical formulae are:xij=yj-yi+kixi-kjxjki-kj,yij=kiyj-kjyi+kikj(xi-xj)ki-kj and x(i)=x12+x13+x233,y(i)=y12+y13+y233 and function of draw line:y=f(x)=y(0)·x-x(1)x(0)-x(1)·x-x(2)x(0)-x(2)+y(1)·x-x(0)x(1)-x(0)·x-x(2)x(1)-x(2)+y(2)·x-x(0)x(2)-x(0)·x-x(1)x(2)-x(1).